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Finding the Fourth Proportional to 13,696.62, 18,901.33 and 7,409.00

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Solution

The fourth proportional to 13,696.62, 18,901.33 and 7,409.00 is: 10,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.62 : 18,901.33 = 7,409.00 : x
  2. Step 2: Convert to fraction form
    13,696.62/18,901.33 = 7,409.00/x
  3. Step 3: Cross multiply
    13,696.62x = 18,901.33 × 7,409.00
  4. Step 4: Simplify right side
    13,696.62x = 140,039,840.94
  5. Step 5: Solve for x
    x = 140,039,840.94/13,696.62
  6. Step 6: Final answer
    x = 10,224.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.